Free textbooks in Ergodic Theory

• Conformal Fractals:Ergodic Theory by Methodsfeliks przytycki
• Probability, Random Processes, and Ergodic Properties by Prof. R.M. Gray
• A Simple Introduction to Ergodic Theory by Karma Dajani and Sjoerd Dirksin
• Ergodic Theory (2018) by Charles Walkden
• Notes on ergodic theory by Mike Hochman
• Ergodic Theory of Differentiable Dynamical Systems by Lai-Sang Young
• Hyperbolic manifolds, discrete groups and ergodic theory by C. McMullen (Harvard University)
• The remarkable effectiveness of ergodic theory in number theory by Alexander Arbieto, Carlos Matheus and Carlos G. Moreira
• Notes on ergodic theory by Michael Hochman from the Hebrew University
• Ergoic Theory (Lecture Notes) by Joan Andreu and Lazaro Camf
• Some topics in ergodic theory by Prof. Yuri Bakhtin
• The remarkable effectiveness of ergodic theory in number theory by Alexander Arbieto, Carlos Matheus and Carlos G. Moreira (ENSAIOS MATEMATICOS 2009, Volume 17, 1–104)
• Topics in Ergodic Theory (Lecture notes for the course) by PETER VARJU